Numeracy Higher June 2017 Unit 1 Q5
5. Cambria Airlines has planes that can carry up to 70 passengers.
For safety, the crew practise the emergency exit procedures with a group of 70 passengers.
Every 10 seconds the safety officer records the total number of passengers who have left the plane.
He has displayed the results in the cumulative frequency diagram shown below.
…………………… seconds
Circle your answer. [1]
10 20 30 40 50
Cambria Airlines has a policy that states the following.
‘In the event of an emergency exit procedure, at least 90% of the 70 passengers must have left the plane within 1 minute.’
Did the practice emergency exit procedure meet the requirements of the airline’s policy?
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| 45 (seconds) | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 30 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| 0.9(0) × 70 | M1 | |
| = 63 (passengers) | A1 | Ignore incorrect units |
| (In 60 seconds) 65 (passengers left) OR 63 passengers within (58 or) 59 seconds OR 63 (passengers) in less than 60 seconds | B1 | Check the diagram for indication, provided values are written FT ‘their 63’ provided M1 previously awarded |
| Conclusion that the target was met | E1 | Depends on M1, B1 previously awarded |
Alternative
| Scheme | Marks | Comments |
|---|---|---|
| By 1 minute, 65 passengers left | B1 | |
| (100 ×) 65/70 | M1 | |
| 0.92(8…) or 0.93 or 92(.8%) or 93(%) | A1 | |
| Conclusion that target met | E1 | (Depends on M1, B1) |
Alternative
For candidates clearly considering the number of passengers left on the plane, must be evidence of this before awarding marks
| Scheme | Marks | Comments |
|---|---|---|
| (0.1× 70=) 7 (passengers left on the plane) | B1 | |
| (After 1 minute) 70 – 65 | M1 | |
| 5 (passengers) | A1 | |
| Conclusion that target met | E1 | (Depends on M1, B1) |